Purely twistorial string with canonical twistor field quantization

Abstract

We introduce new purely twistorial scale-invariant action describing the composite bosonic D=4 Nambu-Goto string with target space parametrized by the pair of D=4 twistors. We show that by suitable gauge fixing of local scaling one gets the bilinear twistorial action and canonical quantization rules for the two-dimensional twistor-string fields. We consider the Poisson brackets of all constraints characterizing our model and we obtain four first class constraints describing two Virasoro constraints and two U(1)xU(1) Kac-Moody (KM) local phase transformations.

v3: 6p.(extended version), in press in Physical Review D

References in corpus (2)

• Einstein Supergravity and New Twistor String Theories
• Supertwistors, massive superparticles and k-symmetry